Okay, thanks to Kofi Lartey, I got the e00 files. One, a country boundary file with at least level 1 administrative districts, is in a custom projected coordinate system, complete with a custom ellipsoid.
Projection TRANSVERSE
Datum USER_DEFINED 0.000 0.000 0.000 0.0000 0.0000 0.0000 0.0000
Zunits NO
Units FEET
Xshift 0.0000000000
Yshift 0.0000000000
Parameters 6378295.0000000000 6356746.0000000000
0.99975000 /* scale factor at central meridian
-1 0 0.000 /* longitude of central meridian
4 40 0.000 /* latitude of origin
274320.00000 /* false easting (meters)
0.00000 /* false northing (meters)
The projection parameters are the Ghana National Grid / Metric Grid (although the false easting differs by about 0.5 meter). The custom ellipsoid has a flattening around 1/295.9903. The custom ellipsoid is close the "War Office" so there may be a Gold Coast foot/metre conversion issue.
Anyway, the other two coverages are definitely converted from rasters. Here's a close-up:
Also complicating the issue is that these two files don't share the same country boundary. There could be a datum difference between them, but the offsets are not regular, so it's hard to say for certain.